Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 946, 935, 524, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 935, 524, 962 is 1
GCD(946, 935, 524, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 935, 524, 962 is 1
GCD(946, 935, 524, 962) = 1
Given Input numbers are 946, 935, 524, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 946, 935, 524, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 935, 524, 962 is 1.
Therefore, GCD of numbers 946, 935, 524, 962 is 1
Given Input Data is 946, 935, 524, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 962 is 2 x 13 x 37
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(946, 935) = 80410
GCD(946, 935) = ( 946 x 935 ) / 80410
GCD(946, 935) = 884510 / 80410
GCD(946, 935) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 524) = 5764
GCD(11, 524) = ( 11 x 524 ) / 5764
GCD(11, 524) = 5764 / 5764
GCD(11, 524) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 946, 935, 524, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 935, 524, 962?
GCD of 946, 935, 524, 962 is 1
2. Where do I get the detailed procedure to find GCD of 946, 935, 524, 962?
You can find a detailed procedure to find GCD of 946, 935, 524, 962 on our page.
3. How to find GCD of 946, 935, 524, 962 on a calculator?
You can find the GCD of 946, 935, 524, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.